We consider the motion of a compressible viscous fluid in the asymptotic regime of low Mach and high Reynolds numbers under strong stratification imposed by a conservative external force. Assuming a bi-dimensional character of the flow, we identify the limit system represented by the so-called lake equation the Euler system supplemented by an anelastic type constraint imposed by the limit densi...

A study has been made of laminar separation bubbles formed over a wide range of Reynolds numbers and in a variety of pressure distributions. The structure of the bubble depended on the value of the Reynolds number of the separating boundary layer and a parameter based on the pressure rise over the region occupied by the bubble. Conditions for the bursting of 'short' bubbles were determined by a...

Let G = SpecA be an affine R-monoid scheme. We prove that the category of dual functors (over the category of commutative R-algebras) of G-modules is equivalent to the category of dual functors of A∗-modules. We prove that G is invariant exact if and only if A∗ = R × B∗ as R-algebras and the first projection A∗ → R is the unit of A. If M is a dual functor of G-modules and wG := (1, 0) ∈ R×B ∗ =...

We present a simple method of measuring viscous drag force on particles in microfluidic environment. Using in-situ polymerization, the effect of particle size and shape on viscous drag force is directly measured, which is crucial to understand motion of microbodies in low Reynolds numbered flow.

We propose an algorithm for computing invariant rings of algebraic groups which act linearly on affine space, provided that degree bounds for the generators are known. The groups need not be finite nor reductive, in particular, the algorithm does not use a Reynolds operator. If an invariant ring is not finitely generated the algorithm can be used to compute invariants up to a given degree.

In this article, we have presented a peristaltic flow of third order fluid in a channel with variable viscosity. The governing equations are constructed under long wave length and low Reynolds number approximations. A regular perturbation technique is applied and obtained expressions for the stream function, temperature, and concentration at a small Deborah number. The pertinent features of var...

A preliminary study on the use of an adaptive display for treating emotional disorders is presented. The purpose of this study is twofold: to obtain a virtual environment that adapts to the emotional states of the user at each moment and to analyze the possibility of using it for the treatment of emotional disorders. Until now, different types of adaptive displays have been developed and studie...

This work focuses on studying the effect of the flow conditions and the geometric variation of the microcantilever s supporting system on the microcantilever detection capabilities within a fluidic cell for various pertinent parameters. Such parameters include Reynolds number, height of the fluidic cell, surface reaction constant, and the Schmidt number. The results of this investigation show t...